330480540 has 192 divisors, whose sum is σ = 1117670400. Its totient is φ = 80587008.

The previous prime is 330480539. The next prime is 330480569. The reversal of 330480540 is 45084033.

330480540 = 103² + 104² + ... + 997².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256449 + ... + 1256711.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2^330480540 is an apocalyptic number.

330480540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330480540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

330480540 is an abundant number, since it is smaller than the sum of its proper divisors (787189860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330480540 is a wasteful number, since it uses less digits than its factorization.

330480540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 330480540 is about 18179.1237412588. The cubic root of 330480540 is about 691.3775880736.

The spelling of 330480540 in words is "three hundred thirty million, four hundred eighty thousand, five hundred forty".